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Finding the Third Proportional to 69,293.25 and 104,330.25

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Solution

The third proportional to 69,293.25 and 104,330.25 is: 157,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,293.25 : 104,330.25 = 104,330.25 : x
  2. Step 2: Convert to fraction form
    69,293.25/104,330.25 = 104,330.25/x
  3. Step 3: Cross multiply
    69,293.25x = 104,330.25 × 104,330.25
  4. Step 4: Simplify right side
    69,293.25x = 10,884,801,065.06
  5. Step 5: Solve for x
    x = 10,884,801,065.06/69,293.25
  6. Step 6: Final answer
    x = 157,083.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.